What is the Least Common Multiple of 63645 and 63654?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 63645 and 63654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63645 and 63654, than apply into the LCM equation.

GCF(63645,63654) = 3
LCM(63645,63654) = ( 63645 × 63654) / 3
LCM(63645,63654) = 4051258830 / 3
LCM(63645,63654) = 1350419610

Least Common Multiple (LCM) of 63645 and 63654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63645 and 63654. First we will calculate the prime factors of 63645 and 63654.

Prime Factorization of 63645

Prime Factorization of 63654

Now multiplying the highest exponent prime factors to calculate the LCM of 63645 and 63654.

LCM(63645,63654) = 3¹ × 5¹ × 4243¹ × 2¹ × 103²
LCM(63645,63654) = 1350419610